Compare 7.6 × 10^-²⁵ and 6.7 × 10^-⁵². Which statement is true?

A. 7.6 × 10^-²⁵ < 6.7 × 10^-⁵²
B. 7.6 × 10^-²⁵ ≤ 6.7 × 10^-⁵²
C. 7.6 × 10^-²⁵ = 6.7 × 10^-⁵²
D. 7.6 × 10^-²⁵ > 6.7 × 10^-⁵²

1 answer

The expression "7.6 × 10^-²⁵" represents a very small decimal number, as it is multiplied by a negative exponent. The expression "6.7 × 10^-⁵²" represents an even smaller decimal number because it is multiplied by a larger negative exponent.

Since the second expression represents an even smaller number than the first expression, the correct statement is:

A. 7.6 × 10^-²⁵ < 6.7 × 10^-⁵²